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Finding the Fourth Proportional to 13,761.39, 18,991.88 and 7,794.12

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Solution

The fourth proportional to 13,761.39, 18,991.88 and 7,794.12 is: 10,756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.39 : 18,991.88 = 7,794.12 : x
  2. Step 2: Convert to fraction form
    13,761.39/18,991.88 = 7,794.12/x
  3. Step 3: Cross multiply
    13,761.39x = 18,991.88 × 7,794.12
  4. Step 4: Simplify right side
    13,761.39x = 148,024,916.27
  5. Step 5: Solve for x
    x = 148,024,916.27/13,761.39
  6. Step 6: Final answer
    x = 10,756.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.